An application of H differentiability to generalized complementarity problems over symmetric cones |
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Authors: | Jia Tang Changfeng Ma |
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Affiliation: | Department of Math. & Comput. Sci., Fujian Normal University, Fuzhou 350007, PR China |
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Abstract: | In this paper, we focus on a generalized complementarity problems over symmetric cone GSCCP(f,g) when the underlying functions f and g are H-differentiable. By introducing the concepts of relatively uniform Cartesian P-property, relatively Cartesian P(P0)-property, the Cartesian semimonotone (E0)-property (strictly Cartesian semimonotone (E)-property), and the relatively regular point with respect to the merit function Ψ(x), we extend various similar results proved in GCP(f,g) to generalized complementarity problems over symmetric cone GSCCP(f,g) and establish various conditions on f and g to get a solution to GSCCP(f,g). |
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Keywords: | Generalized complementarity problems Symmetric cone Euclidean Jordan algebra C-function H-differentiability Strong semismoothness |
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